Find the critical numbers of the function f(x) = -12x5 75x4 + 40x³ - 2 and classify them. x = || || || x = x = is the location of a is the location of a is the location of a Select an answer Select an answer Select an answer

Q: 23. In (x4) -In (x²) = 2

A: lnx4-lnx2=2  Solve for x.

Q: Charging the Capacitor Having stabilized the fuel, you look to your computer for next steps. You are…

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Q: 2 5 If the directional derivative value (Duf) of the function f(x,y) = x²-3x4 + 4y at Point (-2,0)…

A: Let (u) = Ai + Bj be the unit vector in the direction of the directional derivative at the point…

Q: 6. Sketch the surface described by the parameterization r(u, v) = (u, v cos(u), v sin(u)) for 0 ≤ u≤…

A: .

Q: Consider the equation . y=5+3x-x^3 a. Find all critical points for the graph. b. Determine all…

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Q: During the first few years of life, the rate at which a baby gains weight is proportional to the…

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Q: For matrix A = A. C. (38 54 27 29. 29 27 54 38/ Select one: O A O B OC OD 4 (§). 3 if f(x) = X² - 5,…

A: A=4635f(X)=X2-5

Q: Evaluate c (xy + y +z) ds along the curve r(t) = 2ti + tj + (9 − 2t)k, 0 ≤t≤ 1. Sc (xy + y +z) ds =…

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Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: x5−x−9=0,  x1=1 According to the Newton method of approximation the root of a function can be…

Q: You have been placed in charge of minimizing costs on a production line. The cost model is…

A: The solution is shown in step-2

Q: Use L'Hôpital's rule 1. lim x →+∞ sin 1 ~|8| 2 x

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Q: Use spherical coordinates. Find the volume of the solid that lies within the sphere x² + y² + z² =…

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Q: Consider the system of equation: and 2x+3y=z=8 2-4y+2z = -1 5x + 2y = 15 2x+3y-z = 8 The second…

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Q: Initial Investment $1,000 5 Annual % Rate X% Time to Double 15 yr Amount After 12 Years $ 1740.87

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Q: Simplify 2 + √-27 . О 2+3iN3 2+9i√3 00 0 2-91√3 о 2-3i√3 O

A: 2+-27

Q: Find the solution to the differential equation y = y = 2 when t = 1. dy dt = y²(6+t),

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Q: Let f(x) 5x²+x+1. If f(2)=43, then (x-2) is a factor of f(x). O True O False

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Q: Compute the volume of the solid bounded by the graph z = x² + y, the rectangle R = [0, 1] × [1, 5],…

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Q: A B C D 2/3 43 Let R be the region in the first quadrant bounded by the graphs of x = y² and x = 2y,…

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Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Length of wire = 8 m

Q: Consider the function f(x) = e³ and the general formula for Maclaurin series, 1. Find the Maclaurin…

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Q: Use L'Hôpital's rule 3. x3 x³ - 1 lim x1 x³ + 3x - 4

A: limx→1x3-1x3+3x-4

Q: Let F= (y,x) and C be the circle of radius 9 centered at the origin oriented counterclockwise.…

A: Given function is:F=y, xC be the circle of radius 9 which is centered at origin.

Q: esin x dx

A:

Q: 1 For what value of x does the function f(x) = x³ - 4x attain the absolute maximum in the interval…

A: Using the first and second derivative test we are going to find the absolute maxima.

Q: d the length and direction (when defined) of u xv and v> = -5i, v = -9j

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Q: -5 -4 -3 -2 -2 5 y = 732 1 & & & & S -2 -3 -4 ? 1 2 3 4 5 Complete an equation for the function…

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Q: 7. Find a parametric representation using spherical-like coordinates for the upper half of the…

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Q: 3. Let f be a function of two variables defined as xy f(x,y) /x² + y² - (a) Find the domain of the…

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Q: f(x)=√√√x² +6x for x ≥ 0, b=4

A: To find the value of f(b), we simply substitute the value of b = 4 into the expression.

Q: Determine the outstanding principal of the given mortgage. (Assume monthly interest payments and…

A: We have to determine the outstanding principle of given mortgage.

Q: 1 Carefully show all work and circle your answer. (a) Use l'Hospital's rule to find lim xsin(π/x).…

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: f ‴(x) = cos(x),    f(0) = 4,    f ′(0) = 6,    f ″(0) = 7 Find f.

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Q: Compute the double integral y dA over the domain D indicated as 0≤x≤ 4, x ≤ y ≤ 3x + 5. (Use…

A: Solve the following

Q: -6-5-- 6 6+ 5 3 2- -2- -3- The graph above is a transformation of the function ² Write an equation…

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Q: The function f(x) = - 4x³ + 11.76x² + 90.792x + 6.31 is increasing on the open interval ( It is…

A: Given: The function fx=-4x3+11.76x2+90.792x+6.31 To find:   The open intervals on which the…

Q: If limx→.3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx→.3[36x^² + f(x)- 3x]. O a. 11…

A: limx→-3x3+fx=-29

Q: Use the remainder theorem and synthetic division to find the value of f(-3) for f(x) = 2x3-4x² +85

A:

Q: Consider the equation   y=4x-x^2  on the interval [1, 5] a. Find all critical points (including the…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Let f = (x²-3)(u(x-7) - u(x-10)), where u is the Heaviside function. Compute f(-8)= f(7) = f(9) =…

A: Given: f(x)=(x2-3)u(x-7)-u(x-10)whereu is the Heaviside function. We are required to find:…

Q: Use the graphs of f, f', and f" to estimate the x-coordinates of the maximum and minimum points and…

A: Solve the function

Q: what is the volume of the solid lying below the surface z = 1 + x + y and above the region in the…

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Q: Use the table of values to evaluate the expressions below. f(x) g(x) 9 7 2 1 6 x 0 1 2 3 45678 9…

A: Find the value of the given expressions. (a) f(g(3)) (b) g(f(9)) (c) f(f(4)) (d) g(g(7))

Q: Find an orthogonal matrix A where the first row is a multiple of (0, -3, 1).

A: Find an orthogonal matrix A where the first row is a multiple of 0,-3,1

Q: 17. Write as the natural log of a single expression: a. 2ln 5 + 3 ln 4 b. 5ln (x¹/2) + ln (9x)

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Q: Simplify √-225. O -225/ O 15/ O -15/ O 225/

A: let  L=-225we know  -1=i,   where i is stand for iyota

Q: If the graph of f passes through the point (1, 0) and the slope of the tangent line at (x, f(x)) is…

A: Slope of tangent line =8x-7 Point (1,0) lies on f

Q: If f'(x) = 2x O x² - In(x) O x² + 1 x² - In(1x1) O x² and f(-1) = 1, find f(x). In(x) + 1

A: Here we have a derivative f'(x). Need to integrate the derivative to find the function.

Q: Find a general solution to the given equation. y""-7y"+11y'-5y = 9e + sinx Write a general solution…

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